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Simplifying 6x + -3 + 5(2x + -2) = 4(2x + 3) + -1(4 + -1x) Reorder the terms: 6x + -3 + 5(-2 + 2x) = 4(2x + 3) + -1(4 + -1x) 6x + -3 + (-2 * 5 + 2x * 5) = 4(2x + 3) + -1(4 + -1x) 6x + -3 + (-10 + 10x) = 4(2x + 3) + -1(4 + -1x) Reorder the terms: -3 + -10 + 6x + 10x = 4(2x + 3) + -1(4 + -1x) Combine like terms: -3 + -10 = -13 -13 + 6x + 10x = 4(2x + 3) + -1(4 + -1x) Combine like terms: 6x + 10x = 16x -13 + 16x = 4(2x + 3) + -1(4 + -1x) Reorder the terms: -13 + 16x = 4(3 + 2x) + -1(4 + -1x) -13 + 16x = (3 * 4 + 2x * 4) + -1(4 + -1x) -13 + 16x = (12 + 8x) + -1(4 + -1x) -13 + 16x = 12 + 8x + (4 * -1 + -1x * -1) -13 + 16x = 12 + 8x + (-4 + 1x) Reorder the terms: -13 + 16x = 12 + -4 + 8x + 1x Combine like terms: 12 + -4 = 8 -13 + 16x = 8 + 8x + 1x Combine like terms: 8x + 1x = 9x -13 + 16x = 8 + 9x Solving -13 + 16x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 16x + -9x = 8 + 9x + -9x Combine like terms: 16x + -9x = 7x -13 + 7x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 7x = 8 + 0 -13 + 7x = 8 Add '13' to each side of the equation. -13 + 13 + 7x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 7x = 8 + 13 7x = 8 + 13 Combine like terms: 8 + 13 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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