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Simplifying 4[x + -3] = 3[2x + 5] Reorder the terms: 4[-3 + x] = 3[2x + 5] [-3 * 4 + x * 4] = 3[2x + 5] [-12 + 4x] = 3[2x + 5] Reorder the terms: -12 + 4x = 3[5 + 2x] -12 + 4x = [5 * 3 + 2x * 3] -12 + 4x = [15 + 6x] Solving -12 + 4x = 15 + 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 = 15 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 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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