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Simplifying 2(x + -4) + -3 = 3(x + -7) Reorder the terms: 2(-4 + x) + -3 = 3(x + -7) (-4 * 2 + x * 2) + -3 = 3(x + -7) (-8 + 2x) + -3 = 3(x + -7) Reorder the terms: -8 + -3 + 2x = 3(x + -7) Combine like terms: -8 + -3 = -11 -11 + 2x = 3(x + -7) Reorder the terms: -11 + 2x = 3(-7 + x) -11 + 2x = (-7 * 3 + x * 3) -11 + 2x = (-21 + 3x) Solving -11 + 2x = -21 + 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. -11 + 2x + -3x = -21 + 3x + -3x Combine like terms: 2x + -3x = -1x -11 + -1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + -1x = -21 + 0 -11 + -1x = -21 Add '11' to each side of the equation. -11 + 11 + -1x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -21 + 11 -1x = -21 + 11 Combine like terms: -21 + 11 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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