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Simplifying 4(x + -3) + -5(x + 8) = 6(x + 3) + -2 Reorder the terms: 4(-3 + x) + -5(x + 8) = 6(x + 3) + -2 (-3 * 4 + x * 4) + -5(x + 8) = 6(x + 3) + -2 (-12 + 4x) + -5(x + 8) = 6(x + 3) + -2 Reorder the terms: -12 + 4x + -5(8 + x) = 6(x + 3) + -2 -12 + 4x + (8 * -5 + x * -5) = 6(x + 3) + -2 -12 + 4x + (-40 + -5x) = 6(x + 3) + -2 Reorder the terms: -12 + -40 + 4x + -5x = 6(x + 3) + -2 Combine like terms: -12 + -40 = -52 -52 + 4x + -5x = 6(x + 3) + -2 Combine like terms: 4x + -5x = -1x -52 + -1x = 6(x + 3) + -2 Reorder the terms: -52 + -1x = 6(3 + x) + -2 -52 + -1x = (3 * 6 + x * 6) + -2 -52 + -1x = (18 + 6x) + -2 Reorder the terms: -52 + -1x = 18 + -2 + 6x Combine like terms: 18 + -2 = 16 -52 + -1x = 16 + 6x Solving -52 + -1x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -52 + -1x + -6x = 16 + 6x + -6x Combine like terms: -1x + -6x = -7x -52 + -7x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -52 + -7x = 16 + 0 -52 + -7x = 16 Add '52' to each side of the equation. -52 + 52 + -7x = 16 + 52 Combine like terms: -52 + 52 = 0 0 + -7x = 16 + 52 -7x = 16 + 52 Combine like terms: 16 + 52 = 68 -7x = 68 Divide each side by '-7'. x = -9.714285714 Simplifying x = -9.714285714
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