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Simplifying 3x + -2(2x + -5) = 2(x + 3) * 8 Reorder the terms: 3x + -2(-5 + 2x) = 2(x + 3) * 8 3x + (-5 * -2 + 2x * -2) = 2(x + 3) * 8 3x + (10 + -4x) = 2(x + 3) * 8 Reorder the terms: 10 + 3x + -4x = 2(x + 3) * 8 Combine like terms: 3x + -4x = -1x 10 + -1x = 2(x + 3) * 8 Reorder the terms: 10 + -1x = 2(3 + x) * 8 Reorder the terms for easier multiplication: 10 + -1x = 2 * 8(3 + x) Multiply 2 * 8 10 + -1x = 16(3 + x) 10 + -1x = (3 * 16 + x * 16) 10 + -1x = (48 + 16x) Solving 10 + -1x = 48 + 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. 10 + -1x + -16x = 48 + 16x + -16x Combine like terms: -1x + -16x = -17x 10 + -17x = 48 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -17x = 48 + 0 10 + -17x = 48 Add '-10' to each side of the equation. 10 + -10 + -17x = 48 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = 48 + -10 -17x = 48 + -10 Combine like terms: 48 + -10 = 38 -17x = 38 Divide each side by '-17'. x = -2.235294118 Simplifying x = -2.235294118
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