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Simplifying 10x + 4(2x + 9) = -3(15 + -4x) Reorder the terms: 10x + 4(9 + 2x) = -3(15 + -4x) 10x + (9 * 4 + 2x * 4) = -3(15 + -4x) 10x + (36 + 8x) = -3(15 + -4x) Reorder the terms: 36 + 10x + 8x = -3(15 + -4x) Combine like terms: 10x + 8x = 18x 36 + 18x = -3(15 + -4x) 36 + 18x = (15 * -3 + -4x * -3) 36 + 18x = (-45 + 12x) Solving 36 + 18x = -45 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 36 + 18x + -12x = -45 + 12x + -12x Combine like terms: 18x + -12x = 6x 36 + 6x = -45 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + 6x = -45 + 0 36 + 6x = -45 Add '-36' to each side of the equation. 36 + -36 + 6x = -45 + -36 Combine like terms: 36 + -36 = 0 0 + 6x = -45 + -36 6x = -45 + -36 Combine like terms: -45 + -36 = -81 6x = -81 Divide each side by '6'. x = -13.5 Simplifying x = -13.5
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