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Simplifying 7 + 3(5x + -4) = 7 + -4(2x + 1) Reorder the terms: 7 + 3(-4 + 5x) = 7 + -4(2x + 1) 7 + (-4 * 3 + 5x * 3) = 7 + -4(2x + 1) 7 + (-12 + 15x) = 7 + -4(2x + 1) Combine like terms: 7 + -12 = -5 -5 + 15x = 7 + -4(2x + 1) Reorder the terms: -5 + 15x = 7 + -4(1 + 2x) -5 + 15x = 7 + (1 * -4 + 2x * -4) -5 + 15x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -5 + 15x = 3 + -8x Solving -5 + 15x = 3 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -5 + 15x + 8x = 3 + -8x + 8x Combine like terms: 15x + 8x = 23x -5 + 23x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 23x = 3 + 0 -5 + 23x = 3 Add '5' to each side of the equation. -5 + 5 + 23x = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 23x = 3 + 5 23x = 3 + 5 Combine like terms: 3 + 5 = 8 23x = 8 Divide each side by '23'. x = 0.347826087 Simplifying x = 0.347826087
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