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Simplifying 4(x + -7) + -3x = 3(2x + -6) Reorder the terms: 4(-7 + x) + -3x = 3(2x + -6) (-7 * 4 + x * 4) + -3x = 3(2x + -6) (-28 + 4x) + -3x = 3(2x + -6) Combine like terms: 4x + -3x = 1x -28 + 1x = 3(2x + -6) Reorder the terms: -28 + 1x = 3(-6 + 2x) -28 + 1x = (-6 * 3 + 2x * 3) -28 + 1x = (-18 + 6x) Solving -28 + 1x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -28 + 1x + -6x = -18 + 6x + -6x Combine like terms: 1x + -6x = -5x -28 + -5x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -5x = -18 + 0 -28 + -5x = -18 Add '28' to each side of the equation. -28 + 28 + -5x = -18 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = -18 + 28 -5x = -18 + 28 Combine like terms: -18 + 28 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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