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Simplifying -16(12x + -2) + 180x = 24x + -8(-0.5 + 1) Reorder the terms: -16(-2 + 12x) + 180x = 24x + -8(-0.5 + 1) (-2 * -16 + 12x * -16) + 180x = 24x + -8(-0.5 + 1) (32 + -192x) + 180x = 24x + -8(-0.5 + 1) Combine like terms: -192x + 180x = -12x 32 + -12x = 24x + -8(-0.5 + 1) Combine like terms: -0.5 + 1 = 0.5 32 + -12x = 24x + -8(0.5) Multiply -8 * 0.5 32 + -12x = 24x + -4 Reorder the terms: 32 + -12x = -4 + 24x Solving 32 + -12x = -4 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 32 + -12x + -24x = -4 + 24x + -24x Combine like terms: -12x + -24x = -36x 32 + -36x = -4 + 24x + -24x Combine like terms: 24x + -24x = 0 32 + -36x = -4 + 0 32 + -36x = -4 Add '-32' to each side of the equation. 32 + -32 + -36x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -36x = -4 + -32 -36x = -4 + -32 Combine like terms: -4 + -32 = -36 -36x = -36 Divide each side by '-36'. x = 1 Simplifying x = 1
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