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Simplifying 14(x + -10) + -10x = 3(x + -2) + 1 Reorder the terms: 14(-10 + x) + -10x = 3(x + -2) + 1 (-10 * 14 + x * 14) + -10x = 3(x + -2) + 1 (-140 + 14x) + -10x = 3(x + -2) + 1 Combine like terms: 14x + -10x = 4x -140 + 4x = 3(x + -2) + 1 Reorder the terms: -140 + 4x = 3(-2 + x) + 1 -140 + 4x = (-2 * 3 + x * 3) + 1 -140 + 4x = (-6 + 3x) + 1 Reorder the terms: -140 + 4x = -6 + 1 + 3x Combine like terms: -6 + 1 = -5 -140 + 4x = -5 + 3x Solving -140 + 4x = -5 + 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. -140 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -140 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -140 + 1x = -5 + 0 -140 + 1x = -5 Add '140' to each side of the equation. -140 + 140 + 1x = -5 + 140 Combine like terms: -140 + 140 = 0 0 + 1x = -5 + 140 1x = -5 + 140 Combine like terms: -5 + 140 = 135 1x = 135 Divide each side by '1'. x = 135 Simplifying x = 135
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