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Simplifying 4(x + -2) + 10 = 3(x + -7) Reorder the terms: 4(-2 + x) + 10 = 3(x + -7) (-2 * 4 + x * 4) + 10 = 3(x + -7) (-8 + 4x) + 10 = 3(x + -7) Reorder the terms: -8 + 10 + 4x = 3(x + -7) Combine like terms: -8 + 10 = 2 2 + 4x = 3(x + -7) Reorder the terms: 2 + 4x = 3(-7 + x) 2 + 4x = (-7 * 3 + x * 3) 2 + 4x = (-21 + 3x) Solving 2 + 4x = -21 + 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. 2 + 4x + -3x = -21 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = -21 + 0 2 + 1x = -21 Add '-2' to each side of the equation. 2 + -2 + 1x = -21 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -21 + -2 1x = -21 + -2 Combine like terms: -21 + -2 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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