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Simplifying -3(x + 5) + 2 = 4(x + 6) Reorder the terms: -3(5 + x) + 2 = 4(x + 6) (5 * -3 + x * -3) + 2 = 4(x + 6) (-15 + -3x) + 2 = 4(x + 6) Reorder the terms: -15 + 2 + -3x = 4(x + 6) Combine like terms: -15 + 2 = -13 -13 + -3x = 4(x + 6) Reorder the terms: -13 + -3x = 4(6 + x) -13 + -3x = (6 * 4 + x * 4) -13 + -3x = (24 + 4x) Solving -13 + -3x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + -3x + -4x = 24 + 4x + -4x Combine like terms: -3x + -4x = -7x -13 + -7x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -7x = 24 + 0 -13 + -7x = 24 Add '13' to each side of the equation. -13 + 13 + -7x = 24 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 24 + 13 -7x = 24 + 13 Combine like terms: 24 + 13 = 37 -7x = 37 Divide each side by '-7'. x = -5.285714286 Simplifying x = -5.285714286
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