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Simplifying 4(x + 3) = 6(x + -4) + 7 Reorder the terms: 4(3 + x) = 6(x + -4) + 7 (3 * 4 + x * 4) = 6(x + -4) + 7 (12 + 4x) = 6(x + -4) + 7 Reorder the terms: 12 + 4x = 6(-4 + x) + 7 12 + 4x = (-4 * 6 + x * 6) + 7 12 + 4x = (-24 + 6x) + 7 Reorder the terms: 12 + 4x = -24 + 7 + 6x Combine like terms: -24 + 7 = -17 12 + 4x = -17 + 6x Solving 12 + 4x = -17 + 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. 12 + 4x + -6x = -17 + 6x + -6x Combine like terms: 4x + -6x = -2x 12 + -2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -2x = -17 + 0 12 + -2x = -17 Add '-12' to each side of the equation. 12 + -12 + -2x = -17 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -17 + -12 -2x = -17 + -12 Combine like terms: -17 + -12 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5
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