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Simplifying 7(3x + -6) + -15 = 110 + -4(17 + -1x) + -5x Reorder the terms: 7(-6 + 3x) + -15 = 110 + -4(17 + -1x) + -5x (-6 * 7 + 3x * 7) + -15 = 110 + -4(17 + -1x) + -5x (-42 + 21x) + -15 = 110 + -4(17 + -1x) + -5x Reorder the terms: -42 + -15 + 21x = 110 + -4(17 + -1x) + -5x Combine like terms: -42 + -15 = -57 -57 + 21x = 110 + -4(17 + -1x) + -5x -57 + 21x = 110 + (17 * -4 + -1x * -4) + -5x -57 + 21x = 110 + (-68 + 4x) + -5x Combine like terms: 110 + -68 = 42 -57 + 21x = 42 + 4x + -5x Combine like terms: 4x + -5x = -1x -57 + 21x = 42 + -1x Solving -57 + 21x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -57 + 21x + x = 42 + -1x + x Combine like terms: 21x + x = 22x -57 + 22x = 42 + -1x + x Combine like terms: -1x + x = 0 -57 + 22x = 42 + 0 -57 + 22x = 42 Add '57' to each side of the equation. -57 + 57 + 22x = 42 + 57 Combine like terms: -57 + 57 = 0 0 + 22x = 42 + 57 22x = 42 + 57 Combine like terms: 42 + 57 = 99 22x = 99 Divide each side by '22'. x = 4.5 Simplifying x = 4.5
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