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Simplifying 18(x + 2) + -4(4x + 6) = 3(x + -10) + -20 Reorder the terms: 18(2 + x) + -4(4x + 6) = 3(x + -10) + -20 (2 * 18 + x * 18) + -4(4x + 6) = 3(x + -10) + -20 (36 + 18x) + -4(4x + 6) = 3(x + -10) + -20 Reorder the terms: 36 + 18x + -4(6 + 4x) = 3(x + -10) + -20 36 + 18x + (6 * -4 + 4x * -4) = 3(x + -10) + -20 36 + 18x + (-24 + -16x) = 3(x + -10) + -20 Reorder the terms: 36 + -24 + 18x + -16x = 3(x + -10) + -20 Combine like terms: 36 + -24 = 12 12 + 18x + -16x = 3(x + -10) + -20 Combine like terms: 18x + -16x = 2x 12 + 2x = 3(x + -10) + -20 Reorder the terms: 12 + 2x = 3(-10 + x) + -20 12 + 2x = (-10 * 3 + x * 3) + -20 12 + 2x = (-30 + 3x) + -20 Reorder the terms: 12 + 2x = -30 + -20 + 3x Combine like terms: -30 + -20 = -50 12 + 2x = -50 + 3x Solving 12 + 2x = -50 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 2x + -3x = -50 + 3x + -3x Combine like terms: 2x + -3x = -1x 12 + -1x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -1x = -50 + 0 12 + -1x = -50 Add '-12' to each side of the equation. 12 + -12 + -1x = -50 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -50 + -12 -1x = -50 + -12 Combine like terms: -50 + -12 = -62 -1x = -62 Divide each side by '-1'. x = 62 Simplifying x = 62
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