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Simplifying 3(2x + -5) + -4x + -27 = 7(x + 14) Reorder the terms: 3(-5 + 2x) + -4x + -27 = 7(x + 14) (-5 * 3 + 2x * 3) + -4x + -27 = 7(x + 14) (-15 + 6x) + -4x + -27 = 7(x + 14) Reorder the terms: -15 + -27 + 6x + -4x = 7(x + 14) Combine like terms: -15 + -27 = -42 -42 + 6x + -4x = 7(x + 14) Combine like terms: 6x + -4x = 2x -42 + 2x = 7(x + 14) Reorder the terms: -42 + 2x = 7(14 + x) -42 + 2x = (14 * 7 + x * 7) -42 + 2x = (98 + 7x) Solving -42 + 2x = 98 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -42 + 2x + -7x = 98 + 7x + -7x Combine like terms: 2x + -7x = -5x -42 + -5x = 98 + 7x + -7x Combine like terms: 7x + -7x = 0 -42 + -5x = 98 + 0 -42 + -5x = 98 Add '42' to each side of the equation. -42 + 42 + -5x = 98 + 42 Combine like terms: -42 + 42 = 0 0 + -5x = 98 + 42 -5x = 98 + 42 Combine like terms: 98 + 42 = 140 -5x = 140 Divide each side by '-5'. x = -28 Simplifying x = -28
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