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Simplifying 2(x + 3) + -1x + -10 = 5x + -7 Reorder the terms: 2(3 + x) + -1x + -10 = 5x + -7 (3 * 2 + x * 2) + -1x + -10 = 5x + -7 (6 + 2x) + -1x + -10 = 5x + -7 Reorder the terms: 6 + -10 + 2x + -1x = 5x + -7 Combine like terms: 6 + -10 = -4 -4 + 2x + -1x = 5x + -7 Combine like terms: 2x + -1x = 1x -4 + 1x = 5x + -7 Reorder the terms: -4 + 1x = -7 + 5x Solving -4 + 1x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 1x + -5x = -7 + 5x + -5x Combine like terms: 1x + -5x = -4x -4 + -4x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -4x = -7 + 0 -4 + -4x = -7 Add '4' to each side of the equation. -4 + 4 + -4x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -7 + 4 -4x = -7 + 4 Combine like terms: -7 + 4 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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