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Simplifying 7(x + -3) + 3 = 7x + -3(3 + -1x) Reorder the terms: 7(-3 + x) + 3 = 7x + -3(3 + -1x) (-3 * 7 + x * 7) + 3 = 7x + -3(3 + -1x) (-21 + 7x) + 3 = 7x + -3(3 + -1x) Reorder the terms: -21 + 3 + 7x = 7x + -3(3 + -1x) Combine like terms: -21 + 3 = -18 -18 + 7x = 7x + -3(3 + -1x) -18 + 7x = 7x + (3 * -3 + -1x * -3) -18 + 7x = 7x + (-9 + 3x) Reorder the terms: -18 + 7x = -9 + 7x + 3x Combine like terms: 7x + 3x = 10x -18 + 7x = -9 + 10x Solving -18 + 7x = -9 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 7x + -10x = -9 + 10x + -10x Combine like terms: 7x + -10x = -3x -18 + -3x = -9 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -3x = -9 + 0 -18 + -3x = -9 Add '18' to each side of the equation. -18 + 18 + -3x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -9 + 18 -3x = -9 + 18 Combine like terms: -9 + 18 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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