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Simplifying 5(4x + -3) + -2(6 + -8x) + 10(-2x + 17) = -4(9 + -12x) Reorder the terms: 5(-3 + 4x) + -2(6 + -8x) + 10(-2x + 17) = -4(9 + -12x) (-3 * 5 + 4x * 5) + -2(6 + -8x) + 10(-2x + 17) = -4(9 + -12x) (-15 + 20x) + -2(6 + -8x) + 10(-2x + 17) = -4(9 + -12x) -15 + 20x + (6 * -2 + -8x * -2) + 10(-2x + 17) = -4(9 + -12x) -15 + 20x + (-12 + 16x) + 10(-2x + 17) = -4(9 + -12x) Reorder the terms: -15 + 20x + -12 + 16x + 10(17 + -2x) = -4(9 + -12x) -15 + 20x + -12 + 16x + (17 * 10 + -2x * 10) = -4(9 + -12x) -15 + 20x + -12 + 16x + (170 + -20x) = -4(9 + -12x) Reorder the terms: -15 + -12 + 170 + 20x + 16x + -20x = -4(9 + -12x) Combine like terms: -15 + -12 = -27 -27 + 170 + 20x + 16x + -20x = -4(9 + -12x) Combine like terms: -27 + 170 = 143 143 + 20x + 16x + -20x = -4(9 + -12x) Combine like terms: 20x + 16x = 36x 143 + 36x + -20x = -4(9 + -12x) Combine like terms: 36x + -20x = 16x 143 + 16x = -4(9 + -12x) 143 + 16x = (9 * -4 + -12x * -4) 143 + 16x = (-36 + 48x) Solving 143 + 16x = -36 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 143 + 16x + -48x = -36 + 48x + -48x Combine like terms: 16x + -48x = -32x 143 + -32x = -36 + 48x + -48x Combine like terms: 48x + -48x = 0 143 + -32x = -36 + 0 143 + -32x = -36 Add '-143' to each side of the equation. 143 + -143 + -32x = -36 + -143 Combine like terms: 143 + -143 = 0 0 + -32x = -36 + -143 -32x = -36 + -143 Combine like terms: -36 + -143 = -179 -32x = -179 Divide each side by '-32'. x = 5.59375 Simplifying x = 5.59375
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