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Simplifying 3(x + -3) + -4 = 4(x + -7) Reorder the terms: 3(-3 + x) + -4 = 4(x + -7) (-3 * 3 + x * 3) + -4 = 4(x + -7) (-9 + 3x) + -4 = 4(x + -7) Reorder the terms: -9 + -4 + 3x = 4(x + -7) Combine like terms: -9 + -4 = -13 -13 + 3x = 4(x + -7) Reorder the terms: -13 + 3x = 4(-7 + x) -13 + 3x = (-7 * 4 + x * 4) -13 + 3x = (-28 + 4x) Solving -13 + 3x = -28 + 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. -13 + 3x + -4x = -28 + 4x + -4x Combine like terms: 3x + -4x = -1x -13 + -1x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -1x = -28 + 0 -13 + -1x = -28 Add '13' to each side of the equation. -13 + 13 + -1x = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -28 + 13 -1x = -28 + 13 Combine like terms: -28 + 13 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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