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Simplifying 4x + -5(x + -3) = 4(x + -5) + -7(x + 1) Reorder the terms: 4x + -5(-3 + x) = 4(x + -5) + -7(x + 1) 4x + (-3 * -5 + x * -5) = 4(x + -5) + -7(x + 1) 4x + (15 + -5x) = 4(x + -5) + -7(x + 1) Reorder the terms: 15 + 4x + -5x = 4(x + -5) + -7(x + 1) Combine like terms: 4x + -5x = -1x 15 + -1x = 4(x + -5) + -7(x + 1) Reorder the terms: 15 + -1x = 4(-5 + x) + -7(x + 1) 15 + -1x = (-5 * 4 + x * 4) + -7(x + 1) 15 + -1x = (-20 + 4x) + -7(x + 1) Reorder the terms: 15 + -1x = -20 + 4x + -7(1 + x) 15 + -1x = -20 + 4x + (1 * -7 + x * -7) 15 + -1x = -20 + 4x + (-7 + -7x) Reorder the terms: 15 + -1x = -20 + -7 + 4x + -7x Combine like terms: -20 + -7 = -27 15 + -1x = -27 + 4x + -7x Combine like terms: 4x + -7x = -3x 15 + -1x = -27 + -3x Solving 15 + -1x = -27 + -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. 15 + -1x + 3x = -27 + -3x + 3x Combine like terms: -1x + 3x = 2x 15 + 2x = -27 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + 2x = -27 + 0 15 + 2x = -27 Add '-15' to each side of the equation. 15 + -15 + 2x = -27 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -27 + -15 2x = -27 + -15 Combine like terms: -27 + -15 = -42 2x = -42 Divide each side by '2'. x = -21 Simplifying x = -21
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