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Simplifying 4(x + -3) = 7(2x + 4) Reorder the terms: 4(-3 + x) = 7(2x + 4) (-3 * 4 + x * 4) = 7(2x + 4) (-12 + 4x) = 7(2x + 4) Reorder the terms: -12 + 4x = 7(4 + 2x) -12 + 4x = (4 * 7 + 2x * 7) -12 + 4x = (28 + 14x) Solving -12 + 4x = 28 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -12 + 4x + -14x = 28 + 14x + -14x Combine like terms: 4x + -14x = -10x -12 + -10x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 -12 + -10x = 28 + 0 -12 + -10x = 28 Add '12' to each side of the equation. -12 + 12 + -10x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 28 + 12 -10x = 28 + 12 Combine like terms: 28 + 12 = 40 -10x = 40 Divide each side by '-10'. x = -4 Simplifying x = -4
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