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Simplifying 5 + 6x + -23 = 5(2x + 8) + -10 Reorder the terms: 5 + -23 + 6x = 5(2x + 8) + -10 Combine like terms: 5 + -23 = -18 -18 + 6x = 5(2x + 8) + -10 Reorder the terms: -18 + 6x = 5(8 + 2x) + -10 -18 + 6x = (8 * 5 + 2x * 5) + -10 -18 + 6x = (40 + 10x) + -10 Reorder the terms: -18 + 6x = 40 + -10 + 10x Combine like terms: 40 + -10 = 30 -18 + 6x = 30 + 10x Solving -18 + 6x = 30 + 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 + 6x + -10x = 30 + 10x + -10x Combine like terms: 6x + -10x = -4x -18 + -4x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 -18 + -4x = 30 + 0 -18 + -4x = 30 Add '18' to each side of the equation. -18 + 18 + -4x = 30 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = 30 + 18 -4x = 30 + 18 Combine like terms: 30 + 18 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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