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Simplifying 7(2x + -9) + -4(3x + -8) = 16(x + -12) + 10 Reorder the terms: 7(-9 + 2x) + -4(3x + -8) = 16(x + -12) + 10 (-9 * 7 + 2x * 7) + -4(3x + -8) = 16(x + -12) + 10 (-63 + 14x) + -4(3x + -8) = 16(x + -12) + 10 Reorder the terms: -63 + 14x + -4(-8 + 3x) = 16(x + -12) + 10 -63 + 14x + (-8 * -4 + 3x * -4) = 16(x + -12) + 10 -63 + 14x + (32 + -12x) = 16(x + -12) + 10 Reorder the terms: -63 + 32 + 14x + -12x = 16(x + -12) + 10 Combine like terms: -63 + 32 = -31 -31 + 14x + -12x = 16(x + -12) + 10 Combine like terms: 14x + -12x = 2x -31 + 2x = 16(x + -12) + 10 Reorder the terms: -31 + 2x = 16(-12 + x) + 10 -31 + 2x = (-12 * 16 + x * 16) + 10 -31 + 2x = (-192 + 16x) + 10 Reorder the terms: -31 + 2x = -192 + 10 + 16x Combine like terms: -192 + 10 = -182 -31 + 2x = -182 + 16x Solving -31 + 2x = -182 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -31 + 2x + -16x = -182 + 16x + -16x Combine like terms: 2x + -16x = -14x -31 + -14x = -182 + 16x + -16x Combine like terms: 16x + -16x = 0 -31 + -14x = -182 + 0 -31 + -14x = -182 Add '31' to each side of the equation. -31 + 31 + -14x = -182 + 31 Combine like terms: -31 + 31 = 0 0 + -14x = -182 + 31 -14x = -182 + 31 Combine like terms: -182 + 31 = -151 -14x = -151 Divide each side by '-14'. x = 10.78571429 Simplifying x = 10.78571429
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