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Simplifying 4(x + 3) + -10 = 6(x + -2) Reorder the terms: 4(3 + x) + -10 = 6(x + -2) (3 * 4 + x * 4) + -10 = 6(x + -2) (12 + 4x) + -10 = 6(x + -2) Reorder the terms: 12 + -10 + 4x = 6(x + -2) Combine like terms: 12 + -10 = 2 2 + 4x = 6(x + -2) Reorder the terms: 2 + 4x = 6(-2 + x) 2 + 4x = (-2 * 6 + x * 6) 2 + 4x = (-12 + 6x) Solving 2 + 4x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x 2 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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