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Simplifying 12(x + -7) + 3(2x + 2) = 40x + -62 Reorder the terms: 12(-7 + x) + 3(2x + 2) = 40x + -62 (-7 * 12 + x * 12) + 3(2x + 2) = 40x + -62 (-84 + 12x) + 3(2x + 2) = 40x + -62 Reorder the terms: -84 + 12x + 3(2 + 2x) = 40x + -62 -84 + 12x + (2 * 3 + 2x * 3) = 40x + -62 -84 + 12x + (6 + 6x) = 40x + -62 Reorder the terms: -84 + 6 + 12x + 6x = 40x + -62 Combine like terms: -84 + 6 = -78 -78 + 12x + 6x = 40x + -62 Combine like terms: 12x + 6x = 18x -78 + 18x = 40x + -62 Reorder the terms: -78 + 18x = -62 + 40x Solving -78 + 18x = -62 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -78 + 18x + -40x = -62 + 40x + -40x Combine like terms: 18x + -40x = -22x -78 + -22x = -62 + 40x + -40x Combine like terms: 40x + -40x = 0 -78 + -22x = -62 + 0 -78 + -22x = -62 Add '78' to each side of the equation. -78 + 78 + -22x = -62 + 78 Combine like terms: -78 + 78 = 0 0 + -22x = -62 + 78 -22x = -62 + 78 Combine like terms: -62 + 78 = 16 -22x = 16 Divide each side by '-22'. x = -0.7272727273 Simplifying x = -0.7272727273
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