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Simplifying 2x + -3 = 3(x + -4) + 7 Reorder the terms: -3 + 2x = 3(x + -4) + 7 Reorder the terms: -3 + 2x = 3(-4 + x) + 7 -3 + 2x = (-4 * 3 + x * 3) + 7 -3 + 2x = (-12 + 3x) + 7 Reorder the terms: -3 + 2x = -12 + 7 + 3x Combine like terms: -12 + 7 = -5 -3 + 2x = -5 + 3x Solving -3 + 2x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x = -5 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -5 + 0 -3 + -1x = -5 Add '3' to each side of the equation. -3 + 3 + -1x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -5 + 3 -1x = -5 + 3 Combine like terms: -5 + 3 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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