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Simplifying 9(4x + 3) + -15 = 6(x + -2) + 12 Reorder the terms: 9(3 + 4x) + -15 = 6(x + -2) + 12 (3 * 9 + 4x * 9) + -15 = 6(x + -2) + 12 (27 + 36x) + -15 = 6(x + -2) + 12 Reorder the terms: 27 + -15 + 36x = 6(x + -2) + 12 Combine like terms: 27 + -15 = 12 12 + 36x = 6(x + -2) + 12 Reorder the terms: 12 + 36x = 6(-2 + x) + 12 12 + 36x = (-2 * 6 + x * 6) + 12 12 + 36x = (-12 + 6x) + 12 Reorder the terms: 12 + 36x = -12 + 12 + 6x Combine like terms: -12 + 12 = 0 12 + 36x = 0 + 6x 12 + 36x = 6x Solving 12 + 36x = 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 + 36x + -6x = 6x + -6x Combine like terms: 36x + -6x = 30x 12 + 30x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + 30x = 0 Add '-12' to each side of the equation. 12 + -12 + 30x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 30x = 0 + -12 30x = 0 + -12 Combine like terms: 0 + -12 = -12 30x = -12 Divide each side by '30'. x = -0.4 Simplifying x = -0.4
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