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Simplifying 4(x + -3) + 20 = 3(x + -5) Reorder the terms: 4(-3 + x) + 20 = 3(x + -5) (-3 * 4 + x * 4) + 20 = 3(x + -5) (-12 + 4x) + 20 = 3(x + -5) Reorder the terms: -12 + 20 + 4x = 3(x + -5) Combine like terms: -12 + 20 = 8 8 + 4x = 3(x + -5) Reorder the terms: 8 + 4x = 3(-5 + x) 8 + 4x = (-5 * 3 + x * 3) 8 + 4x = (-15 + 3x) Solving 8 + 4x = -15 + 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. 8 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = -15 + 0 8 + 1x = -15 Add '-8' to each side of the equation. 8 + -8 + 1x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -15 + -8 1x = -15 + -8 Combine like terms: -15 + -8 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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