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Simplifying 2(x + 3) + -3(x + -2) = 6x + 3 Reorder the terms: 2(3 + x) + -3(x + -2) = 6x + 3 (3 * 2 + x * 2) + -3(x + -2) = 6x + 3 (6 + 2x) + -3(x + -2) = 6x + 3 Reorder the terms: 6 + 2x + -3(-2 + x) = 6x + 3 6 + 2x + (-2 * -3 + x * -3) = 6x + 3 6 + 2x + (6 + -3x) = 6x + 3 Reorder the terms: 6 + 6 + 2x + -3x = 6x + 3 Combine like terms: 6 + 6 = 12 12 + 2x + -3x = 6x + 3 Combine like terms: 2x + -3x = -1x 12 + -1x = 6x + 3 Reorder the terms: 12 + -1x = 3 + 6x Solving 12 + -1x = 3 + 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. 12 + -1x + -6x = 3 + 6x + -6x Combine like terms: -1x + -6x = -7x 12 + -7x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -7x = 3 + 0 12 + -7x = 3 Add '-12' to each side of the equation. 12 + -12 + -7x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = 3 + -12 -7x = 3 + -12 Combine like terms: 3 + -12 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286
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