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Simplifying 4(x + -2) + -6(3x + -9) = 15(x + -3) + 3 Reorder the terms: 4(-2 + x) + -6(3x + -9) = 15(x + -3) + 3 (-2 * 4 + x * 4) + -6(3x + -9) = 15(x + -3) + 3 (-8 + 4x) + -6(3x + -9) = 15(x + -3) + 3 Reorder the terms: -8 + 4x + -6(-9 + 3x) = 15(x + -3) + 3 -8 + 4x + (-9 * -6 + 3x * -6) = 15(x + -3) + 3 -8 + 4x + (54 + -18x) = 15(x + -3) + 3 Reorder the terms: -8 + 54 + 4x + -18x = 15(x + -3) + 3 Combine like terms: -8 + 54 = 46 46 + 4x + -18x = 15(x + -3) + 3 Combine like terms: 4x + -18x = -14x 46 + -14x = 15(x + -3) + 3 Reorder the terms: 46 + -14x = 15(-3 + x) + 3 46 + -14x = (-3 * 15 + x * 15) + 3 46 + -14x = (-45 + 15x) + 3 Reorder the terms: 46 + -14x = -45 + 3 + 15x Combine like terms: -45 + 3 = -42 46 + -14x = -42 + 15x Solving 46 + -14x = -42 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 46 + -14x + -15x = -42 + 15x + -15x Combine like terms: -14x + -15x = -29x 46 + -29x = -42 + 15x + -15x Combine like terms: 15x + -15x = 0 46 + -29x = -42 + 0 46 + -29x = -42 Add '-46' to each side of the equation. 46 + -46 + -29x = -42 + -46 Combine like terms: 46 + -46 = 0 0 + -29x = -42 + -46 -29x = -42 + -46 Combine like terms: -42 + -46 = -88 -29x = -88 Divide each side by '-29'. x = 3.034482759 Simplifying x = 3.034482759
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