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Simplifying 4[5x + 7 + -6x] + 2 = 2(x + -6) Reorder the terms: 4[7 + 5x + -6x] + 2 = 2(x + -6) Combine like terms: 5x + -6x = -1x 4[7 + -1x] + 2 = 2(x + -6) [7 * 4 + -1x * 4] + 2 = 2(x + -6) [28 + -4x] + 2 = 2(x + -6) Reorder the terms: 28 + 2 + -4x = 2(x + -6) Combine like terms: 28 + 2 = 30 30 + -4x = 2(x + -6) Reorder the terms: 30 + -4x = 2(-6 + x) 30 + -4x = (-6 * 2 + x * 2) 30 + -4x = (-12 + 2x) Solving 30 + -4x = -12 + 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. 30 + -4x + -2x = -12 + 2x + -2x Combine like terms: -4x + -2x = -6x 30 + -6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + -6x = -12 + 0 30 + -6x = -12 Add '-30' to each side of the equation. 30 + -30 + -6x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -12 + -30 -6x = -12 + -30 Combine like terms: -12 + -30 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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