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Simplifying 2x + 4x + -7x + 12 = 2(x + -10) Reorder the terms: 12 + 2x + 4x + -7x = 2(x + -10) Combine like terms: 2x + 4x = 6x 12 + 6x + -7x = 2(x + -10) Combine like terms: 6x + -7x = -1x 12 + -1x = 2(x + -10) Reorder the terms: 12 + -1x = 2(-10 + x) 12 + -1x = (-10 * 2 + x * 2) 12 + -1x = (-20 + 2x) Solving 12 + -1x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -1x + -2x = -20 + 2x + -2x Combine like terms: -1x + -2x = -3x 12 + -3x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -3x = -20 + 0 12 + -3x = -20 Add '-12' to each side of the equation. 12 + -12 + -3x = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -20 + -12 -3x = -20 + -12 Combine like terms: -20 + -12 = -32 -3x = -32 Divide each side by '-3'. x = 10.66666667 Simplifying x = 10.66666667
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