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Simplifying 4(x + 3) = 2(x + -4) + -7 Reorder the terms: 4(3 + x) = 2(x + -4) + -7 (3 * 4 + x * 4) = 2(x + -4) + -7 (12 + 4x) = 2(x + -4) + -7 Reorder the terms: 12 + 4x = 2(-4 + x) + -7 12 + 4x = (-4 * 2 + x * 2) + -7 12 + 4x = (-8 + 2x) + -7 Reorder the terms: 12 + 4x = -8 + -7 + 2x Combine like terms: -8 + -7 = -15 12 + 4x = -15 + 2x Solving 12 + 4x = -15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 4x + -2x = -15 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = -15 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = -15 + 0 12 + 2x = -15 Add '-12' to each side of the equation. 12 + -12 + 2x = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -15 + -12 2x = -15 + -12 Combine like terms: -15 + -12 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5
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