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Simplifying -2(-3x + -5) + 8 = 5(6x) + -7(x + 1) Reorder the terms: -2(-5 + -3x) + 8 = 5(6x) + -7(x + 1) (-5 * -2 + -3x * -2) + 8 = 5(6x) + -7(x + 1) (10 + 6x) + 8 = 5(6x) + -7(x + 1) Reorder the terms: 10 + 8 + 6x = 5(6x) + -7(x + 1) Combine like terms: 10 + 8 = 18 18 + 6x = 5(6x) + -7(x + 1) Remove parenthesis around (6x) 18 + 6x = 5 * 6x + -7(x + 1) Multiply 5 * 6 18 + 6x = 30x + -7(x + 1) Reorder the terms: 18 + 6x = 30x + -7(1 + x) 18 + 6x = 30x + (1 * -7 + x * -7) 18 + 6x = 30x + (-7 + -7x) Reorder the terms: 18 + 6x = -7 + 30x + -7x Combine like terms: 30x + -7x = 23x 18 + 6x = -7 + 23x Solving 18 + 6x = -7 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 18 + 6x + -23x = -7 + 23x + -23x Combine like terms: 6x + -23x = -17x 18 + -17x = -7 + 23x + -23x Combine like terms: 23x + -23x = 0 18 + -17x = -7 + 0 18 + -17x = -7 Add '-18' to each side of the equation. 18 + -18 + -17x = -7 + -18 Combine like terms: 18 + -18 = 0 0 + -17x = -7 + -18 -17x = -7 + -18 Combine like terms: -7 + -18 = -25 -17x = -25 Divide each side by '-17'. x = 1.470588235 Simplifying x = 1.470588235
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