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Simplifying 3(x + -3) + 5 = 4(x + -4) Reorder the terms: 3(-3 + x) + 5 = 4(x + -4) (-3 * 3 + x * 3) + 5 = 4(x + -4) (-9 + 3x) + 5 = 4(x + -4) Reorder the terms: -9 + 5 + 3x = 4(x + -4) Combine like terms: -9 + 5 = -4 -4 + 3x = 4(x + -4) Reorder the terms: -4 + 3x = 4(-4 + x) -4 + 3x = (-4 * 4 + x * 4) -4 + 3x = (-16 + 4x) Solving -4 + 3x = -16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 3x + -4x = -16 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = -16 + 0 -4 + -1x = -16 Add '4' to each side of the equation. -4 + 4 + -1x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -16 + 4 -1x = -16 + 4 Combine like terms: -16 + 4 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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