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Simplifying 8(x + -2) + -3(2x + -1) = 2(x + 4) + -7(x + -3) Reorder the terms: 8(-2 + x) + -3(2x + -1) = 2(x + 4) + -7(x + -3) (-2 * 8 + x * 8) + -3(2x + -1) = 2(x + 4) + -7(x + -3) (-16 + 8x) + -3(2x + -1) = 2(x + 4) + -7(x + -3) Reorder the terms: -16 + 8x + -3(-1 + 2x) = 2(x + 4) + -7(x + -3) -16 + 8x + (-1 * -3 + 2x * -3) = 2(x + 4) + -7(x + -3) -16 + 8x + (3 + -6x) = 2(x + 4) + -7(x + -3) Reorder the terms: -16 + 3 + 8x + -6x = 2(x + 4) + -7(x + -3) Combine like terms: -16 + 3 = -13 -13 + 8x + -6x = 2(x + 4) + -7(x + -3) Combine like terms: 8x + -6x = 2x -13 + 2x = 2(x + 4) + -7(x + -3) Reorder the terms: -13 + 2x = 2(4 + x) + -7(x + -3) -13 + 2x = (4 * 2 + x * 2) + -7(x + -3) -13 + 2x = (8 + 2x) + -7(x + -3) Reorder the terms: -13 + 2x = 8 + 2x + -7(-3 + x) -13 + 2x = 8 + 2x + (-3 * -7 + x * -7) -13 + 2x = 8 + 2x + (21 + -7x) Reorder the terms: -13 + 2x = 8 + 21 + 2x + -7x Combine like terms: 8 + 21 = 29 -13 + 2x = 29 + 2x + -7x Combine like terms: 2x + -7x = -5x -13 + 2x = 29 + -5x Solving -13 + 2x = 29 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -13 + 2x + 5x = 29 + -5x + 5x Combine like terms: 2x + 5x = 7x -13 + 7x = 29 + -5x + 5x Combine like terms: -5x + 5x = 0 -13 + 7x = 29 + 0 -13 + 7x = 29 Add '13' to each side of the equation. -13 + 13 + 7x = 29 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 29 + 13 7x = 29 + 13 Combine like terms: 29 + 13 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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