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Simplifying 3(x + -2) + 7 = 5x + -4(x + -1) Reorder the terms: 3(-2 + x) + 7 = 5x + -4(x + -1) (-2 * 3 + x * 3) + 7 = 5x + -4(x + -1) (-6 + 3x) + 7 = 5x + -4(x + -1) Reorder the terms: -6 + 7 + 3x = 5x + -4(x + -1) Combine like terms: -6 + 7 = 1 1 + 3x = 5x + -4(x + -1) Reorder the terms: 1 + 3x = 5x + -4(-1 + x) 1 + 3x = 5x + (-1 * -4 + x * -4) 1 + 3x = 5x + (4 + -4x) Reorder the terms: 1 + 3x = 4 + 5x + -4x Combine like terms: 5x + -4x = 1x 1 + 3x = 4 + 1x Solving 1 + 3x = 4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1 + 3x + -1x = 4 + 1x + -1x Combine like terms: 3x + -1x = 2x 1 + 2x = 4 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + 2x = 4 + 0 1 + 2x = 4 Add '-1' to each side of the equation. 1 + -1 + 2x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 4 + -1 2x = 4 + -1 Combine like terms: 4 + -1 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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