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Simplifying 3(2x + 4) = 4[3x + -1(7 + -1x)] Reorder the terms: 3(4 + 2x) = 4[3x + -1(7 + -1x)] (4 * 3 + 2x * 3) = 4[3x + -1(7 + -1x)] (12 + 6x) = 4[3x + -1(7 + -1x)] 12 + 6x = 4[3x + (7 * -1 + -1x * -1)] 12 + 6x = 4[3x + (-7 + 1x)] Reorder the terms: 12 + 6x = 4[-7 + 3x + 1x] Combine like terms: 3x + 1x = 4x 12 + 6x = 4[-7 + 4x] 12 + 6x = [-7 * 4 + 4x * 4] 12 + 6x = [-28 + 16x] Solving 12 + 6x = -28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 6x + -16x = -28 + 16x + -16x Combine like terms: 6x + -16x = -10x 12 + -10x = -28 + 16x + -16x Combine like terms: 16x + -16x = 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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