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Simplifying -5x + 3 = -4(2x + 3) Reorder the terms: 3 + -5x = -4(2x + 3) Reorder the terms: 3 + -5x = -4(3 + 2x) 3 + -5x = (3 * -4 + 2x * -4) 3 + -5x = (-12 + -8x) Solving 3 + -5x = -12 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + -5x + 8x = -12 + -8x + 8x Combine like terms: -5x + 8x = 3x 3 + 3x = -12 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 3x = -12 + 0 3 + 3x = -12 Add '-3' to each side of the equation. 3 + -3 + 3x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = -12 + -3 3x = -12 + -3 Combine like terms: -12 + -3 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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