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Simplifying 6(x + -3) + -3(x + -2) = 4(3 + -1x) + 5 Reorder the terms: 6(-3 + x) + -3(x + -2) = 4(3 + -1x) + 5 (-3 * 6 + x * 6) + -3(x + -2) = 4(3 + -1x) + 5 (-18 + 6x) + -3(x + -2) = 4(3 + -1x) + 5 Reorder the terms: -18 + 6x + -3(-2 + x) = 4(3 + -1x) + 5 -18 + 6x + (-2 * -3 + x * -3) = 4(3 + -1x) + 5 -18 + 6x + (6 + -3x) = 4(3 + -1x) + 5 Reorder the terms: -18 + 6 + 6x + -3x = 4(3 + -1x) + 5 Combine like terms: -18 + 6 = -12 -12 + 6x + -3x = 4(3 + -1x) + 5 Combine like terms: 6x + -3x = 3x -12 + 3x = 4(3 + -1x) + 5 -12 + 3x = (3 * 4 + -1x * 4) + 5 -12 + 3x = (12 + -4x) + 5 Reorder the terms: -12 + 3x = 12 + 5 + -4x Combine like terms: 12 + 5 = 17 -12 + 3x = 17 + -4x Solving -12 + 3x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 3x + 4x = 17 + -4x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 7x = 17 + 0 -12 + 7x = 17 Add '12' to each side of the equation. -12 + 12 + 7x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 17 + 12 7x = 17 + 12 Combine like terms: 17 + 12 = 29 7x = 29 Divide each side by '7'. x = 4.142857143 Simplifying x = 4.142857143
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