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Simplifying 4(2 + -1x) + 3x = 2x + -7 (2 * 4 + -1x * 4) + 3x = 2x + -7 (8 + -4x) + 3x = 2x + -7 Combine like terms: -4x + 3x = -1x 8 + -1x = 2x + -7 Reorder the terms: 8 + -1x = -7 + 2x Solving 8 + -1x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -1x + -2x = -7 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = -7 + 0 8 + -3x = -7 Add '-8' to each side of the equation. 8 + -8 + -3x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -7 + -8 -3x = -7 + -8 Combine like terms: -7 + -8 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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