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Simplifying 4(3x + x) + 7 + -5x = 8(-5)(5x + -6x) + 23 Combine like terms: 3x + x = 4x 4(4x) + 7 + -5x = 8(-5)(5x + -6x) + 23 Remove parenthesis around (4x) 4 * 4x + 7 + -5x = 8(-5)(5x + -6x) + 23 Multiply 4 * 4 16x + 7 + -5x = 8(-5)(5x + -6x) + 23 Reorder the terms: 7 + 16x + -5x = 8(-5)(5x + -6x) + 23 Combine like terms: 16x + -5x = 11x 7 + 11x = 8(-5)(5x + -6x) + 23 Combine like terms: 5x + -6x = -1x 7 + 11x = 8 * -5(-1x) + 23 Remove parenthesis around (-1x) 7 + 11x = 8 * -5 * -1x + 23 Multiply 8 * -5 7 + 11x = -40 * -1x + 23 Multiply -40 * -1 7 + 11x = 40x + 23 Reorder the terms: 7 + 11x = 23 + 40x Solving 7 + 11x = 23 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 7 + 11x + -40x = 23 + 40x + -40x Combine like terms: 11x + -40x = -29x 7 + -29x = 23 + 40x + -40x Combine like terms: 40x + -40x = 0 7 + -29x = 23 + 0 7 + -29x = 23 Add '-7' to each side of the equation. 7 + -7 + -29x = 23 + -7 Combine like terms: 7 + -7 = 0 0 + -29x = 23 + -7 -29x = 23 + -7 Combine like terms: 23 + -7 = 16 -29x = 16 Divide each side by '-29'. x = -0.5517241379 Simplifying x = -0.5517241379
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