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Simplifying 4(x + -3) + -17 = 3(x + -4) Reorder the terms: 4(-3 + x) + -17 = 3(x + -4) (-3 * 4 + x * 4) + -17 = 3(x + -4) (-12 + 4x) + -17 = 3(x + -4) Reorder the terms: -12 + -17 + 4x = 3(x + -4) Combine like terms: -12 + -17 = -29 -29 + 4x = 3(x + -4) Reorder the terms: -29 + 4x = 3(-4 + x) -29 + 4x = (-4 * 3 + x * 3) -29 + 4x = (-12 + 3x) Solving -29 + 4x = -12 + 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. -29 + 4x + -3x = -12 + 3x + -3x Combine like terms: 4x + -3x = 1x -29 + 1x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -29 + 1x = -12 + 0 -29 + 1x = -12 Add '29' to each side of the equation. -29 + 29 + 1x = -12 + 29 Combine like terms: -29 + 29 = 0 0 + 1x = -12 + 29 1x = -12 + 29 Combine like terms: -12 + 29 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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