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Simplifying 5(x + -3) + -1(4x + 1) = 6(6x + 2) Reorder the terms: 5(-3 + x) + -1(4x + 1) = 6(6x + 2) (-3 * 5 + x * 5) + -1(4x + 1) = 6(6x + 2) (-15 + 5x) + -1(4x + 1) = 6(6x + 2) Reorder the terms: -15 + 5x + -1(1 + 4x) = 6(6x + 2) -15 + 5x + (1 * -1 + 4x * -1) = 6(6x + 2) -15 + 5x + (-1 + -4x) = 6(6x + 2) Reorder the terms: -15 + -1 + 5x + -4x = 6(6x + 2) Combine like terms: -15 + -1 = -16 -16 + 5x + -4x = 6(6x + 2) Combine like terms: 5x + -4x = 1x -16 + 1x = 6(6x + 2) Reorder the terms: -16 + 1x = 6(2 + 6x) -16 + 1x = (2 * 6 + 6x * 6) -16 + 1x = (12 + 36x) Solving -16 + 1x = 12 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -16 + 1x + -36x = 12 + 36x + -36x Combine like terms: 1x + -36x = -35x -16 + -35x = 12 + 36x + -36x Combine like terms: 36x + -36x = 0 -16 + -35x = 12 + 0 -16 + -35x = 12 Add '16' to each side of the equation. -16 + 16 + -35x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -35x = 12 + 16 -35x = 12 + 16 Combine like terms: 12 + 16 = 28 -35x = 28 Divide each side by '-35'. x = -0.8 Simplifying x = -0.8
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