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Simplifying -3x + 7 + 8x = 4(x + -1) + -2(2x + 3) + -3 Reorder the terms: 7 + -3x + 8x = 4(x + -1) + -2(2x + 3) + -3 Combine like terms: -3x + 8x = 5x 7 + 5x = 4(x + -1) + -2(2x + 3) + -3 Reorder the terms: 7 + 5x = 4(-1 + x) + -2(2x + 3) + -3 7 + 5x = (-1 * 4 + x * 4) + -2(2x + 3) + -3 7 + 5x = (-4 + 4x) + -2(2x + 3) + -3 Reorder the terms: 7 + 5x = -4 + 4x + -2(3 + 2x) + -3 7 + 5x = -4 + 4x + (3 * -2 + 2x * -2) + -3 7 + 5x = -4 + 4x + (-6 + -4x) + -3 Reorder the terms: 7 + 5x = -4 + -6 + -3 + 4x + -4x Combine like terms: -4 + -6 = -10 7 + 5x = -10 + -3 + 4x + -4x Combine like terms: -10 + -3 = -13 7 + 5x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 5x = -13 + 0 7 + 5x = -13 Solving 7 + 5x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -13 + -7 5x = -13 + -7 Combine like terms: -13 + -7 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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