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Simplifying 4(x + 5) + -7 = 3(x + -5) + 12 Reorder the terms: 4(5 + x) + -7 = 3(x + -5) + 12 (5 * 4 + x * 4) + -7 = 3(x + -5) + 12 (20 + 4x) + -7 = 3(x + -5) + 12 Reorder the terms: 20 + -7 + 4x = 3(x + -5) + 12 Combine like terms: 20 + -7 = 13 13 + 4x = 3(x + -5) + 12 Reorder the terms: 13 + 4x = 3(-5 + x) + 12 13 + 4x = (-5 * 3 + x * 3) + 12 13 + 4x = (-15 + 3x) + 12 Reorder the terms: 13 + 4x = -15 + 12 + 3x Combine like terms: -15 + 12 = -3 13 + 4x = -3 + 3x Solving 13 + 4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 4x + -3x = -3 + 3x + -3x Combine like terms: 4x + -3x = 1x 13 + 1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 1x = -3 + 0 13 + 1x = -3 Add '-13' to each side of the equation. 13 + -13 + 1x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -3 + -13 1x = -3 + -13 Combine like terms: -3 + -13 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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