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Simplifying 4(x + 7) = 3(2x + -4) Reorder the terms: 4(7 + x) = 3(2x + -4) (7 * 4 + x * 4) = 3(2x + -4) (28 + 4x) = 3(2x + -4) Reorder the terms: 28 + 4x = 3(-4 + 2x) 28 + 4x = (-4 * 3 + 2x * 3) 28 + 4x = (-12 + 6x) Solving 28 + 4x = -12 + 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 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x 28 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -2x = -12 + 0 28 + -2x = -12 Add '-28' to each side of the equation. 28 + -28 + -2x = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -2x = -12 + -28 -2x = -12 + -28 Combine like terms: -12 + -28 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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