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Simplifying 7(x + -3) = 8(4 + -2x) Reorder the terms: 7(-3 + x) = 8(4 + -2x) (-3 * 7 + x * 7) = 8(4 + -2x) (-21 + 7x) = 8(4 + -2x) -21 + 7x = (4 * 8 + -2x * 8) -21 + 7x = (32 + -16x) Solving -21 + 7x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -21 + 7x + 16x = 32 + -16x + 16x Combine like terms: 7x + 16x = 23x -21 + 23x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 -21 + 23x = 32 + 0 -21 + 23x = 32 Add '21' to each side of the equation. -21 + 21 + 23x = 32 + 21 Combine like terms: -21 + 21 = 0 0 + 23x = 32 + 21 23x = 32 + 21 Combine like terms: 32 + 21 = 53 23x = 53 Divide each side by '23'. x = 2.304347826 Simplifying x = 2.304347826
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