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Simplifying 4(2x + -15) = -3(3x + -12) Reorder the terms: 4(-15 + 2x) = -3(3x + -12) (-15 * 4 + 2x * 4) = -3(3x + -12) (-60 + 8x) = -3(3x + -12) Reorder the terms: -60 + 8x = -3(-12 + 3x) -60 + 8x = (-12 * -3 + 3x * -3) -60 + 8x = (36 + -9x) Solving -60 + 8x = 36 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -60 + 8x + 9x = 36 + -9x + 9x Combine like terms: 8x + 9x = 17x -60 + 17x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 -60 + 17x = 36 + 0 -60 + 17x = 36 Add '60' to each side of the equation. -60 + 60 + 17x = 36 + 60 Combine like terms: -60 + 60 = 0 0 + 17x = 36 + 60 17x = 36 + 60 Combine like terms: 36 + 60 = 96 17x = 96 Divide each side by '17'. x = 5.647058824 Simplifying x = 5.647058824
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