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Simplifying 5(3x + -8) + 3(7x + 6) = 6(8x + -3) + -4(2x + 5) Reorder the terms: 5(-8 + 3x) + 3(7x + 6) = 6(8x + -3) + -4(2x + 5) (-8 * 5 + 3x * 5) + 3(7x + 6) = 6(8x + -3) + -4(2x + 5) (-40 + 15x) + 3(7x + 6) = 6(8x + -3) + -4(2x + 5) Reorder the terms: -40 + 15x + 3(6 + 7x) = 6(8x + -3) + -4(2x + 5) -40 + 15x + (6 * 3 + 7x * 3) = 6(8x + -3) + -4(2x + 5) -40 + 15x + (18 + 21x) = 6(8x + -3) + -4(2x + 5) Reorder the terms: -40 + 18 + 15x + 21x = 6(8x + -3) + -4(2x + 5) Combine like terms: -40 + 18 = -22 -22 + 15x + 21x = 6(8x + -3) + -4(2x + 5) Combine like terms: 15x + 21x = 36x -22 + 36x = 6(8x + -3) + -4(2x + 5) Reorder the terms: -22 + 36x = 6(-3 + 8x) + -4(2x + 5) -22 + 36x = (-3 * 6 + 8x * 6) + -4(2x + 5) -22 + 36x = (-18 + 48x) + -4(2x + 5) Reorder the terms: -22 + 36x = -18 + 48x + -4(5 + 2x) -22 + 36x = -18 + 48x + (5 * -4 + 2x * -4) -22 + 36x = -18 + 48x + (-20 + -8x) Reorder the terms: -22 + 36x = -18 + -20 + 48x + -8x Combine like terms: -18 + -20 = -38 -22 + 36x = -38 + 48x + -8x Combine like terms: 48x + -8x = 40x -22 + 36x = -38 + 40x Solving -22 + 36x = -38 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -22 + 36x + -40x = -38 + 40x + -40x Combine like terms: 36x + -40x = -4x -22 + -4x = -38 + 40x + -40x Combine like terms: 40x + -40x = 0 -22 + -4x = -38 + 0 -22 + -4x = -38 Add '22' to each side of the equation. -22 + 22 + -4x = -38 + 22 Combine like terms: -22 + 22 = 0 0 + -4x = -38 + 22 -4x = -38 + 22 Combine like terms: -38 + 22 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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